Ohio Rev. Code § 2113.12
If a person named as executor in the will of a decedent, or nominated as an executor by holders of a power as described in section 2107.65 of the Revised Code, refuses to accept the trust, or, if after being served notice for that purpose, neglects to appear and accept, or if the person named or nominated as executor neglects for twenty days after the probate of the will to give any required bond, the probate court shall grant letters testamentary to the other executor, if there is one capable and willing to accept the trust, and if there is no other executor named in the will or nominated by holders of a power as described in section 2107.65 of the Revised Code, the court shall commit administration of the estate, with the will annexed, to some suitable and competent person, pursuant to section 2113.05 of the Revised Code.
R.C. § 2113.12